# A square loop of side $$1$$ m and resistance $$1$$ $$\Omega$$ is placed in a magnetic field of $$0.5$$ T. If the plane of the loop is perpendicular to the direction of the magnetic field, the magnetic flux through the loop is: 1. $$0$$ 2.  $$2$$ weber 3.  $$0.5$$ weber 4.  $$1$$ weber

Subtopic:  Magnetic Flux |
66%
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Given below are two statements:

 Assertion (A): The bar magnet falling vertically along the axis of the horizontal coil will be having acceleration less than $$g.$$ Reason (R): Clockwise current induced in the coil.

 1 Both (A) and (R) are True and (R) is the correct explanation of (A). 2 Both (A) and (R) are True but (R) is not the correct explanation of (A). 3 (A) is True but (R) is False. 4 Both (A) and (R) are False.
Subtopic:  Faraday's Law & Lenz Law |
76%
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Given below are two statements:
 Statement I: A steady magnetic field can be produced by a steady current. Statement II: A steady current can be produced in a circuit by a changing magnetic field.

 1 Statement I is incorrect and Statement II is correct. 2 Both Statement I and Statement II are correct. 3 Both Statement I and Statement II are incorrect. 4 Statement I is correct and Statement II is incorrect.
Subtopic:  Faraday's Law & Lenz Law |
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In the given magnetic flux versus time graph, the magnitude of emf induced in the loop at $$t=3$$ s is:

1. $$5$$
2. $$4$$
3. $$3$$
4. zero
Subtopic:  Faraday's Law & Lenz Law |
74%
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For a coil having $$L=2~\text{mH},$$ the current flow through it is $$I=t^2e^{-t}.$$ The time at which emf becomes zero is:
1. $$2$$ s
2. $$1$$ s
3. $$4$$ s
4. $$3$$ s

Subtopic:  Self - Inductance |
60%
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AIPMT - 2001
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A square of side $$L$$ meters lies in the $$XY\text-$$plane in a region where the magnetic field is given by $$\vec{B}=B_{0}\left ( 2\hat{i} +3\hat{j}+4\hat{k}\right )\text{T}$$ where $$B_{0}$$ is constant. The magnitude of flux passing through the square will be:
1. $$2 B_{0} L^{2}~\text{Wb}$$
2. $$3 B_{0} L^{2}~\text{Wb}$$
3. $$4 B_{0} L^{2}~\text{Wb}$$
4. $$\sqrt{29} B_{0} L^{2}~\text{Wb}$$

Subtopic:  Magnetic Flux |
72%
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The adjoining figure shows two different arrangements in which two square wireframes are placed in a uniform magnetic field $$B$$ decreasing with time.

The direction of the induced current $$I$$ in the figure is:
 1 From $$a$$ to $$b$$ and from $$c$$ to $$d$$ 2 From $$a$$ to $$b$$ and from $$f$$ to $$e$$ 3 From $$b$$ to $$a$$ and from $$d$$ to $$c$$ 4 From $$b$$ to $$a$$ and from $$e$$ to $$f$$
Subtopic:  Faraday's Law & Lenz Law |
66%
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Two identical conductors $$P$$ and $$Q$$ are placed on two frictionless (conducting) rails $$R$$ and $$S$$ in a uniform magnetic field directed into the plane. If $$P$$ is moved in the direction as shown in the figure with a constant speed, then rod $$Q$$:

 1 will be attracted toward $$P$$. 2 will be repelled away from $$P$$. 3 will remain stationary. 4 maybe repelled or attracted towards $$P$$.
Subtopic:  Motional emf |
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Two coaxial coils are very close to each other and their mutual inductance is $$5$$ mH. If a current $$50\sin(500 t)$$ is passed in one of the coils, then the peak value of induced emf in the secondary coil will be:
 1 $$5000$$ V 2 $$500$$ V 3 $$150$$ V 4 $$125$$ V
Subtopic:  Mutual Inductance |
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With the decrease of current in the primary coil from $$2$$ A to zero in $$0.01$$ s, the emf generated in the secondary coil is $$1000~\text{V}$$. The mutual inductance of the two coils is:
1. $$1.25$$ H
2. $$2.50$$ H
3. $$5.00$$ H
4. $$10.00$$ H

Subtopic:  Mutual Inductance |
88%
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